905616352 has 48 divisors (see below), whose sum is σ = 1877087520. Its totient is φ = 429248512.

The previous prime is 905616317. The next prime is 905616391. The reversal of 905616352 is 253616509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77724 + ... + 88612.

It is an arithmetic number, because the mean of its divisors is an integer number (39105990).

Almost surely, 2^905616352 is an apocalyptic number.

905616352 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938543760).

905616352 is an abundant number, since it is smaller than the sum of its proper divisors (971471168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

905616352 is a wasteful number, since it uses less digits than its factorization.

905616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11035 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 905616352 is about 30093.4602862482. The cubic root of 905616352 is about 967.4935652032.

The spelling of 905616352 in words is "nine hundred five million, six hundred sixteen thousand, three hundred fifty-two".